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Finding the Fourth Proportional to 24,461.16, 36,691.91 and 6,691.43

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Solution

The fourth proportional to 24,461.16, 36,691.91 and 6,691.43 is: 10,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.16 : 36,691.91 = 6,691.43 : x
  2. Step 2: Convert to fraction form
    24,461.16/36,691.91 = 6,691.43/x
  3. Step 3: Cross multiply
    24,461.16x = 36,691.91 × 6,691.43
  4. Step 4: Simplify right side
    24,461.16x = 245,521,130.41
  5. Step 5: Solve for x
    x = 245,521,130.41/24,461.16
  6. Step 6: Final answer
    x = 10,037.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.